Pregled bibliografske jedinice broj: 953835
Self-dual codes from orbit matrices and quotient matrices of combinatorial designs
Self-dual codes from orbit matrices and quotient matrices of combinatorial designs // Discrete mathematics, 341 (2018), 12; 3331-3343 doi:10.1016/j.disc.2018.08.019 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 953835 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Self-dual codes from orbit matrices and quotient
matrices of combinatorial designs
Autori
Crnković, Dean ; Mostarac, Nina
Izvornik
Discrete mathematics (0012-365X) 341
(2018), 12;
3331-3343
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Self-dual code ; Block design ; Orbit matrix ; Divisible design ; Quotient matrix
Sažetak
In this paper we give constructions of self- orthogonal and self-dual codes, with respect to certain scalar products, with the help of orbit matrices of block designs and quotient matrices of symmetric (group) divisible designs (SGDDs) with the dual property. First we describe constructions from block designs and their extended orbit matrices, where the orbit matrices are induced by the action of an automorphism group of the design. Further, we give some further constructions of self-dual codes from symmetric block designs and their orbit matrices. Moreover, in a similar way as for symmetric designs, we give constructions of self-dual codes from SGDDs with the dual property and their quotient matrices.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-1637 - Kodovi i s njima povezane kombinatoričke strukture (CoCoS) (Crnković, Dean, HRZZ - 2013-11) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
